GCF of 9300/438, 9408/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9300/438, 9408/558 i.e 12/40734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9300/438, 9408/558.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9300/438,9408/558?
Given fractions are 9300/438,9408/558
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9300/438,9408/558, numerators are 9300,9408
Denominators are 438,558
The GCF of 9300,9408 is 12 .
LCM of 438,558 is 40734.
The greatest common factor of 9300/438,9408/558 = [GCF of 9300,9408]/[LCM of 438,558]= 12/40734
Therefore, the GCF of 9300/438,9408/558 is 12/40734.
To find the highest common factor of 9300,9408, we have to find the factors of both numbers and list the highest common factor.
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408
The HCF of 9300,9408 is 12.
Lets's calculate GCF of 9300,9408
| 2 | 9300, 9408 |
| 2 | 4650, 4704 |
| 3 | 2325, 2352 |
| 775, 784 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9300,9408 By Matching Biggest Common Factor Method
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Now, list down the factors of 9408
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Greatest Common Factor
We found the factors 9300,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 9300,9408 is 12.
Lets's calculate LCM of 438,558
| 2 | 438, 558 |
| 3 | 219, 279 |
| 73, 93 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 93 = 40734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/40734
Therefore, the GCF of Fractions 9300/438,9408/558 is 12/40734
Least Common Multiple of 438,558 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 438,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,558) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,558) x common factors =6 x 1 = 6
LCM(438,558) = ( 438 × 558 ) / 6
LCM(438,558) = 244404 / 6
LCM(438,558) = 40734
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FAQs on GCF of Fractions of 9300/438, 9408/558
1. What is the HCF of 9300,9408?
The HCF of 9300,9408 is 12
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9300/438, 9408/558?
Answer: GCF of Numerators as per given numbers 9300/438, 9408/558 is
GCF of Numerators i.e. for 9300,9408 is 12
LCM of denominators i.e. for 438,558 is 40734.
Thus, GCF of Fractions is 12/40734.Finally, GCF of Fractions for 9300/438, 9408/558 is 12/40734.